diff --git a/src/hb-bit-page.hh b/src/hb-bit-page.hh
index 373733c74..5823b33e6 100644
--- a/src/hb-bit-page.hh
+++ b/src/hb-bit-page.hh
@@ -232,7 +232,7 @@ struct hb_bit_page_t
 	return false;
     return true;
   }
-  bool may_intersect (const hb_bit_page_t &other) const
+  bool intersects (const hb_bit_page_t &other) const
   {
     for (unsigned i = 0; i < len (); i++)
       if (v[i] & other.v[i])
diff --git a/src/hb-bit-set-invertible.hh b/src/hb-bit-set-invertible.hh
index 862b1a659..bc8a545ad 100644
--- a/src/hb-bit-set-invertible.hh
+++ b/src/hb-bit-set-invertible.hh
@@ -140,7 +140,7 @@ struct hb_bit_set_invertible_t
   { add_range (range.first, range.second); return *this; }
 
   bool may_intersect (const hb_bit_set_invertible_t &other) const
-  { return inverted || other.inverted || s.may_intersect (other.s); }
+  { return inverted || other.inverted || s.intersects (other.s); }
 
   bool intersects (hb_codepoint_t first, hb_codepoint_t last) const
   {
diff --git a/src/hb-bit-set.hh b/src/hb-bit-set.hh
index 62312d545..f0dc0f865 100644
--- a/src/hb-bit-set.hh
+++ b/src/hb-bit-set.hh
@@ -358,7 +358,7 @@ struct hb_bit_set_t
   hb_bit_set_t& operator << (const hb_codepoint_pair_t& range)
   { add_range (range.first, range.second); return *this; }
 
-  bool may_intersect (const hb_bit_set_t &other) const
+  bool intersects (const hb_bit_set_t &other) const
   {
     unsigned int na = pages.length;
     unsigned int nb = other.pages.length;
@@ -368,7 +368,7 @@ struct hb_bit_set_t
     {
       if (page_map.arrayZ[a].major == other.page_map.arrayZ[b].major)
       {
-	if (page_at (a).may_intersect (other.page_at (b)))
+	if (page_at (a).intersects (other.page_at (b)))
 	  return true;
 	a++;
 	b++;